4659204372480 has 1728 divisors, whose sum is σ = 20079732647520. Its totient is φ = 992754008064.

The previous prime is 4659204372467. The next prime is 4659204372481. The reversal of 4659204372480 is 842734029564.

It is a happy number.

4659204372480 is a `hidden beast` number, since 4 + 6 + 5 + 92 + 0 + 4 + 3 + 72 + 480 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4659204372481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10517391139 + ... + 10517391581.

Almost surely, 2^{4659204372480} is an apocalyptic number.

4659204372480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4659204372480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10039866323760).

4659204372480 is an abundant number, since it is smaller than the sum of its proper divisors (15420528275040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4659204372480 is a wasteful number, since it uses less digits than its factorization.

4659204372480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 4659204372480 in words is "four trillion, six hundred fifty-nine billion, two hundred four million, three hundred seventy-two thousand, four hundred eighty".